You are a prisoner sentenced to death. The Emperor offers you a chance to live by playing a simple game. He gives you 50 black marbles, 50 white marbles and 2 empty bowls. He then says, "Divide these 100 marbles into these 2 bowls. You can divide them any way you like as long as you use all the marbles. Then I will blindfold you and mix the bowls around. You then can choose one bowl and remove ONE marble. If the marble is WHITE you will live, but if the marble is BLACK... you will die." How do you divide the marbles up so that you have the greatest probability of choosing a WHITE marble?
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You have two bowls and 100 M&Ms, half are green and half are red. Somebody will enter the room and draw an M&M from one of the bowls while blindfolded. How can you distribute the M&Ms between the two bowls to minimize the chance that the person will draw a green M&M?
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